Exactly soluble model for antiphase boundaries in binary ordering alloys

Journal Article · Sun Oct 15 00:00:00 EDT 1989 · Physical Review (Section) B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.40.8194· OSTI ID:5352522

Chrzan, D C; Falicov, L M ^[1]

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1. Department of Physics, University of California, Berkeley, Berkeley, California 94720 (US) Materials and Chemical Sciences Division, Lawrence Berkeley Laboratory, Berkeley, California 94720

An {ital exactly} {ital soluble} model which mimics the properties of {l brace}001{r brace} antiphase boundaries in the face-centered-cubic substitutional alloys (Ising antiferromagnets) with only nearest-neighbor interactions is developed. The three-dimensional model is extended to any dimension, including one- and two-dimensional systems. For three-dimensional systems, it is proven that, in the thermodynamic limit, antiphase boundaries are unstable at all temperatures. It is postulated that antiphase boundaries are unstable for all thermodynamic systems with dimension greater than 1. In one dimension, where antiphase boundaries can be defined mathematically, the concentration of antiphase boundaries is 1/2 at both zero and infinite temperatures, but at all temperatures in between, the concentration is less than 1/2. Antiphase boundaries are found at equilibrium in higher-dimensional systems with small sizes, the order of those used in Monte Carlo simulations of the Ising model. The implications of this unusual size effect are discussed.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5352522
• Journal Information: Physical Review (Section) B: Condensed Matter; (USA), Journal Name: Physical Review (Section) B: Condensed Matter; (USA) Vol. 40:12; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOY SYSTEMS
ANTIFERROMAGNETISM
BINARY ALLOY SYSTEMS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
CUBIC LATTICES
FCC LATTICES
ISING MODEL
MAGNETISM
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
ORDER-DISORDER TRANSFORMATIONS
PHASE STUDIES
PHASE TRANSFORMATIONS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS